*! version 1.2 09-Oct-2022
capture program drop binstest
program define binstest, eclass
version 13
syntax varlist(min=2 numeric fv ts) [if] [in] [fw aw pw] [, deriv(integer 0) at(string asis) nolink ///
estmethod(string) estmethodopt(string asis) absorb(string asis) reghdfeopt(string asis) ///
testmodel(string) ///
testmodelparfit(string asis) testmodelpoly(string) ///
testshape(string) ///
testshapel(numlist) testshaper(numlist) testshape2(numlist) ///
lp(string) ///
bins(numlist integer max=2 >=0) nbins(string) ///
pselect(numlist integer >=0) sselect(numlist integer >=0) ///
binspos(string) binsmethod(string) nbinsrot(string) randcut(numlist max=1 >=0 <=1) ///
nsims(integer 500) simsgrid(integer 20) simsseed(numlist integer max=1 >=0) ///
dfcheck(numlist integer max=2 >=0) masspoints(string) usegtools(string) ///
vce(passthru) asyvar(string) ///
numdist(string) numclust(string)]
/* last line only for internal use */
* Regularization constant (for checking only)
local qrot=2
**************************************
* Create weight local
if ("`weight'"!="") {
local wt [`weight'`exp']
local wtype=substr("`weight'",1,1)
}
* Extract options
* which model?
if ("`absorb'"!="") {
if ("`estmethod'"!="") {
if ("`estmethod'"!="reghdfe") {
di as error "absorb() can only be combined with estmethod(reghdfe)."
exit
}
}
else local estmethod "reghdfe"
}
if ("`estmethod'"=="") local estmethod "reg"
tokenize `estmethod'
local estmethod `1'
if ("`estmethod'"=="reg") {
local estcmd "reg"
}
else if ("`estmethod'"=="qreg") {
local estcmd "qreg"
local quantile `2'
if ("`quantile'"=="") local quantile=0.5
}
else if ("`estmethod'"=="logit") {
local estcmd "logit"
}
else if ("`estmethod'"=="probit") {
local estcmd "probit"
}
else if ("`estmethod'"=="reghdfe") {
local estcmd "reghdfe"
}
* report the results for the cond. mean model?
if ("`link'"!="") local transform "F"
else local transform "T"
* default vce
if ("`vce'"=="") local vce "vce(robust)"
* vce for bin selection
if ("`estmethod'"=="qreg") {
if ("`vce'"=="vce(iid)") local vce_select "vce(ols)"
else local vce_select "vce(robust)"
}
else if ("`estmethod'"=="logit"|"`estmethod'"=="probit") {
if ("`vce'"=="oim"|"`vce'"=="opg") local vce_select "vce(ols)"
else local vce_select "`vce'"
}
else if ("`estmethod'"=="reg"|"`estmethod'"=="reghdfe") {
local vce_select "`vce'"
}
* use bootstrap cmd? cluster specified?
local vcetemp: subinstr local vce "vce(" "", all
local vcetemp: subinstr local vcetemp ")" "", all
tokenize "`vcetemp'", parse(", ")
if ("`1'"=="boot" | "`1'"=="bootstrap") {
local boot "on"
local repstemp `3'
if ("`repstemp'"=="") local repstemp reps(20)
local repstemp: subinstr local repstemp "reps(" "", all
local reps: subinstr local repstemp ")" "", all
if ("`estmethod'"=="qreg") {
local estcmd "bsqreg"
if ("`weight'"!="") {
di as error "Weights not allowed for bootstrapping."
exit
}
}
}
else if ("`1'"=="cl"|"`1'"=="clu"|"`1'"=="clus"|"`1'"=="clust"| ///
"`1'"=="cluste"|"`1'"=="cluster") {
if ("`3'"==""|"`3'"==",") local clusterON "T" /* cluster is specified */
local clustervar `2'
local boot "off"
}
else {
local boot "off"
}
if ("`asyvar'"=="") local asyvar "off"
if ("`binspos'"=="es") local binspos "ES"
if ("`binspos'"=="qs") local binspos "QS"
if ("`binspos'"=="") local binspos "QS"
if ("`binsmethod'"=="rot") local binsmethod "ROT"
if ("`binsmethod'"=="dpi") local binsmethod "DPI"
if ("`binsmethod'"=="") local binsmethod "DPI"
* analyze options related to J, p and s
if ("`testshape'"!="T"&"`testshape'"!="F"&"`testshape'"!="") {
numlist "`testshape'", integer max(2) range(>=0)
local testshape=r(numlist)
}
if ("`testmodel'"!="T"&"`testmodel'"!="F"&"`testmodel'"!="") {
numlist "`testmodel'", integer max(2) range(>=0)
local testmodel=r(numlist)
}
if ("`testshape'"=="F") local testshape ""
if ("`testmodel'"=="F") local testmodel ""
local selection ""
* analyze nbins
if ("`nbins'"=="T") local nbins=0
local len_nbins=0
if ("`nbins'"!=""&"`nbins'"!="F") {
numlist "`nbins'", integer sort
local nbins=r(numlist)
local len_nbins: word count `nbins'
}
* shut down selection if knot is specified by users
if ("`binspos'"!="ES"&"`binspos'"!="QS") {
if ("`nbins'"!=""|"`pselect'"!=""|"`sselect'"!="") {
di as error "nbins(), pselect() or sselect() incorrectly specified."
exit
}
}
* analyze numlist in pselect and sselect
local len_p=0
local len_s=0
if ("`pselect'"!="") {
numlist "`pselect'", integer range(>=`deriv') sort
local plist=r(numlist)
}
if ("`sselect'"!="") {
numlist "`sselect'", integer range(>=0) sort
local slist=r(numlist)
}
local len_p: word count `plist'
local len_s: word count `slist'
if (`len_p'==1&`len_s'==0) {
local slist `plist'
local len_s=1
}
if (`len_p'==0&`len_s'==1) {
local plist `slist'
local len_p=1
}
tokenize `bins'
local binsp "`1'"
local binss "`2'"
if ("`binsp'"=="") local binsp=.
if ("`binss'"=="") local binss `binsp'
if ("`bins'"!="") {
if ("`nbins'"!=""&"`nbins'"!="T"&"`nbins'"!="0"&`len_nbins'<=1) {
di as error "nbins() or bins() is incorrectly specified."
exit
}
}
* 1st case: select J
if (("`bins'"!=""|"`nbins'"=="0"|`len_nbins'>1|"`nbins'"=="T"|"`nbins'"=="")&("`binspos'"=="ES"|"`binspos'"=="QS")) {
local selection "J"
}
if ("`selection'"=="J") {
if (`len_p'>1|`len_s'>1) {
if ("`nbins'"=="") {
di as error "nbins() must be specified for degree/smoothness selection."
exit
}
else {
di as error "Only one p and one s are allowed to select # of bins."
exit
}
}
if ("`plist'"=="") local plist=`deriv'
if ("`slist'"=="") local slist=`plist'
if ("`bins'"=="") {
local binsp `plist'
local binss `slist'
}
local len_p=1
local len_s=1
if ("`testshape'"=="T"|"`testshape'"=="") local testshape `=`binsp'+1' `=`binss'+1'
if ("`testmodel'"=="T"|"`testmodel'"=="") local testmodel `=`binsp'+1' `=`binss'+1'
}
* 2nd case: select P (the special case with nbins() pselect() will be modified in the next step)
if ("`selection'"!="J" & ("`testshape'"==""|"`testshape'"=="T"|"`testmodel'"==""|"`testmodel'"=="T")) {
local pselectOK "T"
}
if ("`pselectOK'"=="T" & `len_nbins'==1 & (`len_p'>1|`len_s'>1)) {
local selection "P"
*if ("`plist'"=="") {
* numlist "`=max(`deriv', 0)'/4"
* local plist=r(numlist)
*}
}
* 3rd case: user-specified J and p
*if ("`testshape'"!="T"&"`testmodel'"!="T") local userOK "T"
if ((`len_p'<=1&`len_s'<=1) & "`selection'"!="J") {
local selection "NA"
if ("`testshape'"=="") {
if ("`bins'"!="") local testshape `=`binsp'+1' `=`binss'+1'
else {
if (`len_p'==1&`len_s'==1) local testshape `=`plist'+1' `=`slist'+1'
else local testshape `=`deriv'+1' `=`deriv'+1'
}
}
if ("`testmodel'"=="") {
if ("`bins'"!="") local testmodel `=`binsp'+1' `=`binss'+1'
else {
if (`len_p'==1&`len_s'==1) local testmodel `=`plist'+1' `=`slist'+1'
else local testmodel `=`deriv'+1' `=`deriv'+1'
}
}
}
* exclude all other cases
if ("`selection'"=="") {
di as error "Degree, smoothness, or # of bins are not correctly specified."
exit
}
* Option for testing shape
tokenize `testshape'
local tsha_p "`1'"
local tsha_s "`2'"
if ("`tsha_p'"==""|"`tsha_p'"=="T") local tsha_p=.
if ("`tsha_s'"=="") local tsha_s `tsha_p'
local val_L `testshapel'
local nL: word count `val_L'
local val_R `testshaper'
local nR: word count `val_R'
local val_T `testshape2'
local nT: word count `val_T'
local ntestshape=`nL'+`nR'+`nT' /* number of tests (for shape) */
* Option for testing model
if ("`testmodelpoly'"!="") {
confirm integer n `testmodelpoly'
local testpolyp=`testmodelpoly'
}
tokenize `testmodel'
local tmod_p "`1'"
local tmod_s "`2'"
if ("`tmod_p'"==""|"`tmod_p'"=="T") local tmod_p=.
if ("`tmod_s'"=="") local tmod_s `tmod_p'
* Add warnings about degrees for estimation and inference
if ("`selection'"=="J") {
if ("`tsha_p'"!=".") {
if (`tsha_p'<=`binsp') {
local tsha_p=`binsp'+1
local tsha_s=`tsha_p'
di as text "Warning: Degree for testshape() has been changed. It must be greater than the degree for bin selection."
}
}
if ("`tmod_p'"!=".") {
if (`tmod_p'<=`binsp') {
local tmod_p=`binsp'+1
local tmod_s=`tmod_p'
di as text "Warning: Degree for testmodel() has been changed. It must be greater than the degree for bin selection."
}
}
}
if ("`selection'"=="NA") {
di as text "Warning: Testing procedures are valid when nbins() is much larger than the IMSE-optimal choice."
}
* mass check?
if ("`masspoints'"=="") {
local massadj "T"
local localcheck "T"
}
else if ("`masspoints'"=="off") {
local massadj "F"
local localcheck "F"
}
else if ("`masspoints'"=="noadjust") {
local massadj "F"
local localcheck "T"
}
else if ("`masspoints'"=="nolocalcheck") {
local massadj "T"
local localcheck "F"
}
else if ("`masspoints'"=="veryfew") {
di as error "veryfew() not allowed for testing."
exit
}
* extract dfcheck
if ("`dfcheck'"=="") local dfcheck 20 30
tokenize `dfcheck'
local dfcheck_n1 "`1'"
local dfcheck_n2 "`2'"
* evaluate at w from another dataset?
if (`"`at'"'!=`""'&`"`at'"'!=`"mean"'&`"`at'"'!=`"median"'&`"`at'"'!=`"0"') local atwout "user"
* default for lp metric
if ("`lp'"=="") local lp "inf"
* use gtools commands instead?
if ("`usegtools'"=="off") local usegtools ""
if ("`usegtools'"=="on") local usegtools usegtools
if ("`usegtools'"!="") {
capture which gtools
if (_rc) {
di as error "Gtools package not installed."
exit
}
local localcheck "F"
local sel_gtools "on"
}
else local sel_gtools "off"
* use reghdfe?
if ("`absorb'"!="") {
capture which reghdfe
if (_rc) {
di as error "reghdfe not installed."
exit
}
}
* Error check
if (`"`testmodelparfit'"'==`""'&`ntestshape'==0&"`testmodelpoly'"=="") {
di as error "No tests specified."
exit
}
if (`tsha_p'<`tsha_s'|`tmod_p'<`tmod_s'|`binsp'<`binss') {
di as error "p cannot be smaller than s."
exit
}
if ("`tsha_p'"!="."&"`binsp'"!=".") {
if (`tsha_p'<=`binsp') {
di as text in gr "Warning: p for testing <= p for bins() not suggested."
}
}
if ("`tmod_p'"!="."&"`binsp'"!=".") {
if (`tmod_p'<=`binsp') {
di as text in gr "Warning: p for testing <= p for bins() not suggested."
}
}
if (`tsha_p'<`deriv'|`tmod_p'<`deriv') {
di as error "p for test cannot be smaller than deriv."
exit
}
if ("`testmodelpoly'"!="") {
if (`testpolyp'<`deriv') {
di as error "Degree of polynomial model cannot be smaller than deriv."
exit
}
}
if (`nsims'<2000|`simsgrid'<50) {
di as text "Note: A larger number random draws/evaluation points is recommended to obtain the final results."
}
* Mark sample
preserve
* Parse varlist into y_var, x_var and w_var
tokenize `varlist'
fvrevar `1', tsonly
local y_var "`r(varlist)'"
fvrevar `2', tsonly
local x_var "`r(varlist)'"
macro shift 2
local w_var "`*'"
* read eval point for w from another file
if ("`atwout'"=="user") {
append using `at'
}
fvrevar `w_var', tsonly
local w_var "`r(varlist)'"
local nwvar: word count `w_var'
* Save the last obs in a vector and then drop it
tempname wuser /* a vector used to keep eval for w */
if ("`atwout'"=="user") {
mata: st_matrix("`wuser'", st_data(`=_N', "`w_var'"))
qui drop in `=_N'
}
* Get positions of factor vars
local indexlist ""
local i = 1
foreach v in `w_var' {
if strpos("`v'", ".") == 0 {
local indexlist `indexlist' `i'
}
local ++i
}
* add a default for at
if (`"`at'"'==""&`nwvar'>0) {
local at "mean"
}
marksample touse /* now renew the mark to account for missing values */
qui keep if `touse'
local eN=_N
local nsize=_N /* # of rows in the original dataset */
if ("`usegtools'"==""&("`masspoints'"!="off"|"`binspos'"=="QS")) {
if ("`:sortedby'"!="`x_var'") sort `x_var', stable
}
if ("`wtype'"=="f") qui sum `x_var' `wt', meanonly
else qui sum `x_var', meanonly
local xmin=r(min)
local xmax=r(max)
local N=r(N) /* sample size, with wt */
tempname xvec binedges
mata: `xvec'=st_data(., "`x_var'")
* effective sample size
local Ndist=.
if ("`massadj'"=="T") {
if ("`numdist'"!=""&"`numdist'"!=".") {
local Ndist=`numdist'
}
else {
if ("`usegtools'"=="") {
mata: `binedges'=binsreg_uniq(`xvec', ., 1, "Ndist")
mata: mata drop `binedges'
}
else {
qui gunique `x_var'
local Ndist=r(unique)
}
}
local eN=min(`eN', `Ndist')
}
local Nclust=.
if ("`clusterON'"=="T") {
if ("`numclust'"!=""&"`numclust'"!=".") {
local Nclust=`numclust'
}
else {
if ("`usegtools'"=="") {
mata: st_local("Nclust", strofreal(rows(uniqrows(st_data(.,"`clustervar'")))))
}
else {
qui gunique `clustervar'
local Nclust=r(unique)
}
}
if ("`estmethod'"=="qreg") {
local vce "vce(robust)"
di as text in gr "Warning: vce(cluster) not allowed. vce(robust) used instead."
}
local eN=min(`eN', `Nclust')
}
**********************************
********** Bins ******************
**********************************
* determine # of bins
if ("`binspos'"!="ES"&"`binspos'"!="QS") {
capture numlist "`binspos'", ascending
if (_rc==0) {
local knotlist `binspos'
local nbins: word count `knotlist'
local first: word 1 of `knotlist'
local last: word `nbins' of `knotlist'
if (`first'<`xmin'|`last'>`xmax') {
di as error "Inner knots specified out of allowed range."
exit
}
else {
local nbins=`nbins'+1
local binspos "user"
}
}
else {
di as error "Numeric list incorrectly specified in binspos()."
exit
}
}
* if binsmethod is specified
local imse_bsq_rot=.
local imse_var_rot=.
local imse_bsq_dpi=.
local imse_var_dpi=.
if ("`selection'"!="NA") {
* Check effective sample size
if ("`binsp'"==".") local binspcheck=6
else local binspcheck=`binsp'
if ("`nbinsrot'"==""&(`eN'<=`dfcheck_n1'+`binspcheck'+1+`qrot')) {
* ROT unavailable, exit
di as error "Too few observations for bin selection."
exit
}
else {
local randcut1k `randcut'
if ("`randcut'"=="" & `N'>5000) {
local randcut1k=max(5000/`N', 0.01)
di as text in gr "Warning: To speed up computation, bin/degree selection uses a subsample of roughly max(5000, 0.01n) observations if n>5000. To use the full sample, set randcut(1)."
}
if ("`selection'"=="J") {
qui binsregselect `y_var' `x_var' `w_var' `wt', deriv(`deriv') bins(`binsp' `binss') nbins(`nbins') ///
absorb(`absorb') reghdfeopt(`reghdfeopt') ///
binsmethod(`binsmethod') binspos(`binspos') nbinsrot(`nbinsrot') ///
`vce_select' masspoints(`masspoints') dfcheck(`dfcheck_n1' `dfcheck_n2') ///
numdist(`Ndist') numclust(`Nclust') randcut(`randcut1k') usegtools(`sel_gtools')
if (e(nbinsrot_regul)==.) {
di as error "bin selection fails."
exit
}
if ("`binsmethod'"=="ROT") {
local nbins=e(nbinsrot_regul)
local imse_bsq_rot=e(imse_bsq_rot)
local imse_var_rot=e(imse_var_rot)
}
else if ("`binsmethod'"=="DPI") {
local nbins=e(nbinsdpi)
local imse_bsq_dpi=e(imse_bsq_dpi)
local imse_var_dpi=e(imse_var_dpi)
if (`nbins'==.) {
local nbins=e(nbinsrot_regul)
local imse_bsq_rot=e(imse_bsq_rot)
local imse_var_rot=e(imse_var_rot)
di as text in gr "Warning: DPI selection fails. ROT choice used."
}
}
}
else if ("`selection'"=="P") {
qui binsregselect `y_var' `x_var' `w_var' `wt', deriv(`deriv') nbins(`nbins') ///
absorb(`absorb') reghdfeopt(`reghdfeopt') ///
pselect(`plist') sselect(`slist') ///
binsmethod(`binsmethod') binspos(`binspos') nbinsrot(`nbinsrot') ///
`vce_select' masspoints(`masspoints') dfcheck(`dfcheck_n1' `dfcheck_n2') ///
numdist(`Ndist') numclust(`Nclust') randcut(`randcut1k') usegtools(`sel_gtools')
if (e(prot_regul)==.) {
di as error "Bin selection fails."
exit
}
if ("`binsmethod'"=="ROT") {
local binsp=e(prot_regul)
local binss=e(srot_regul)
local imse_bsq_rot=e(imse_bsq_rot)
local imse_var_rot=e(imse_var_rot)
}
else if ("`binsmethod'"=="DPI") {
local binsp=e(pdpi)
local binss=e(sdpi)
local imse_bsq_dpi=e(imse_bsq_dpi)
local imse_var_dpi=e(imse_var_dpi)
if (`binsp'==.) {
local binsp=e(prot_regul)
local binss=e(srot_regul)
local imse_bsq_rot=e(imse_bsq_rot)
local imse_var_rot=e(imse_var_rot)
di as text in gr "Warning: DPI selection fails. ROT choice used."
}
}
if ("`testshape'"=="T"|"`testshape'"=="") {
local tsha_p=`binsp'+1
local tsha_s=`binss'+1
}
else {
if (`tsha_p'<=`binsp') {
local tsha_p=`binsp'+1
local tsha_s=`tsha_p'
di as text "Warning: Degree for testshape() has been changed. It must be greater than the IMSE-optimal degree."
}
}
if ("`testmodel'"=="T"|"`testmodel'"=="") {
local tmod_p=`binsp'+1
local tmod_s=`binss'+1
}
else {
if (`tmod_p'<=`binsp') {
local tmod_p=`binsp'+1
local tmod_s=`tmod_p'
di as text "Warning: Degree for testmodel() has been changed. It must be greater than the IMSE-optimal degree."
}
}
}
}
}
*******************************************************
* Check if eff. sample size is large enough for testing
if ((`nbins'-1)*(`tsha_p'-`tsha_s'+1)+`tsha_p'+1+`dfcheck_n2'>=`eN') {
local tsha_fewobs "T"
di as text in gr "Warning: Too small effective sample size for testing shape."
}
if ((`nbins'-1)*(`tmod_p'-`tmod_s'+1)+`tmod_p'+1+`dfcheck_n2'>=`eN') {
local tmod_fewobs "T"
di as text "Warning: Too small effective sample size for testing models."
}
********************************************************
* Generate category variable for data and save knot in matrix
tempname kmat
tempvar xcat
qui gen `xcat'=. in 1
if ("`binspos'"=="ES") {
local stepsize=(`xmax'-`xmin')/`nbins'
forvalues i=1/`=`nbins'+1' {
mat `kmat'=(nullmat(`kmat') \ `=`xmin'+`stepsize'*(`i'-1)')
}
}
else if ("`knotlist'"!="") {
foreach el of local knotlist {
mat `kmat'=(nullmat(`kmat') \ `el')
}
mat `kmat'=(`xmin' \ `kmat' \ `xmax')
}
else {
if (`nbins'==1) mat `kmat'=(`xmin' \ `xmax')
else {
binsreg_pctile `x_var' `wt', nq(`nbins') `usegtools'
mat `kmat'=(`xmin' \ r(Q) \ `xmax')
}
}
mata: st_matrix("`kmat'", (`xmin' \ uniqrows(st_matrix("`kmat'")[|2 \ `=`nbins'+1'|])))
binsreg_irecode `x_var', knotmat(`kmat') bin(`xcat') ///
`usegtools' nbins(`nbins') pos(`binspos') knotliston(T)
if (`nbins'!=rowsof(`kmat')-1) {
di as text in gr "Warning: Repeated knots. Some bins dropped."
local nbins=rowsof(`kmat')-1
}
* Check for empty bins
if ("`localcheck'"=="T") {
mata: st_local("Ncat", strofreal(rows(uniqrows(st_data(.,"`xcat'")))))
if (`nbins'==`Ncat') {
mata: `binedges'=binsreg_uniq(`xvec', st_data(.,"`xcat'"), `nbins', "uniqmin")
mata: mata drop `binedges'
}
else {
local uniqmin=0
di as text in gr "Warning: There are empty bins. Specify a smaller number in nbins()."
}
if (`ntestshape'!=0) {
if (`uniqmin'<`tsha_p'+1) {
local tsha_fewobs "T"
di as text in gr "Warning: Some bins have too few distinct x-values for testing."
}
}
if (`"`testmodelparfit'"'!=`""'|"`testmodelpoly'"!="") {
if (`uniqmin'<`tmod_p'+1) {
local tmod_fewobs "T"
di as text in gr "Warning: Some bins have too few distinct x-values for testing."
}
}
}
********************************************************
* Set seed
if ("`simsseed'"!="") set seed `simsseed'
local uni_last=`simsgrid'*`nbins'+`nbins'-1
tempname Xm Xm0 fit se fit0 uni_grid uni_basis tstat vcov /* objects in MATA */
mata: `uni_grid'=binsreg_grids("`kmat'", `simsgrid')
mata: `Xm0'=.; `fit'=.; `fit0'=0; `se'=.; `vcov'=.
* adjust w vars
tempname wval
if (`nwvar'>0) {
if (`"`at'"'==`"mean"'|`"`at'"'==`"median"') {
matrix `wval'=J(1, `nwvar', 0)
tempname wvaltemp mataobj
mata: `mataobj'=.
foreach wpos in `indexlist' {
local wname: word `wpos' of `w_var'
if ("`usegtools'"=="") {
if ("`wtype'"!="") qui tabstat `wname' `conds' [aw`exp'], stat(`at') save
else qui tabstat `wname' `conds', stat(`at') save
mat `wvaltemp'=r(StatTotal)
}
else {
qui gstats tabstat `wname' `conds' `wt', stat(`at') matasave("`mataobj'")
mata: st_matrix("`wvaltemp'", `mataobj'.getOutputCol(1))
}
mat `wval'[1,`wpos']=`wvaltemp'[1,1]
}
mata: mata drop `mataobj'
}
else if (`"`at'"'==`"0"') {
matrix `wval'=J(1,`nwvar',0)
}
else if ("`atwout'"=="user") {
matrix `wval'=`wuser'
}
}
* define a w vector (possibly a constant) in MATA
tempname wvec wvec0
mata: `wvec'=J(1,0,.); `wvec0'=J(1,0,.)
if (`nwvar'>0) {
mata: `wvec0'=st_matrix("`wval'")
if (`deriv'==0&"`asyvar'"=="off") mata: `wvec'=(`wvec', `wvec0')
else mata: `wvec'=(`wvec', J(1,`nwvar',0))
}
if ("`estmethod'"=="qreg"|"`estmethod'"=="reghdfe") {
mata: `wvec0'=(`wvec0', 1)
if (`deriv'==0) mata: `wvec'=(`wvec', 1)
else mata: `wvec'=(`wvec', 0)
}
*******************************
******* Testing Shape *********
*******************************
tempname stat_shape pval_shape /* test stat and p value */
if (`ntestshape'!=0&"`tsha_fewobs'"!="T") {
* Regression
local nseries=(`tsha_p'-`tsha_s'+1)*(`nbins'-1)+`tsha_p'+1
local tsha_series ""
forvalues i=1/`nseries' {
tempvar sp`i'
local tsha_series `tsha_series' `sp`i''
qui gen `sp`i''=. in 1
}
tempname tsha_b tsha_V
mata: binsreg_st_spdes(`xvec', "`tsha_series'", "`kmat'", st_data(.,"`xcat'"), `tsha_p', 0, `tsha_s')
if ("`estmethod'"!="qreg"&"`estmethod'"!="reghdfe") {
capture `estcmd' `y_var' `tsha_series' `w_var' `wt', nocon `vce' `estmethodopt'
}
else if ("`estmethod'"=="qreg") {
if ("`boot'"=="on") capture bsqreg `y_var' `tsha_series' `w_var', quantile(`quantile') reps(`reps')
else capture qreg `y_var' `tsha_series' `w_var' `wt', quantile(`quantile') `vce' `estmethodopt'
}
else {
capture `estcmd' `y_var' `tsha_series' `w_var' `wt', absorb(`absorb') `reghdfeopt' `vce'
}
* store results
if (_rc==0) {
matrix `tsha_b'=e(b)
matrix `tsha_V'=e(V)
if ("`estmethod'"!="qreg"&"`estmethod'"!="reghdfe") mata: binsreg_checkdrop("`tsha_b'", "`tsha_V'", `nseries')
else mata: binsreg_checkdrop("`tsha_b'", "`tsha_V'", `nseries', "T")
matrix `tsha_b'=`tsha_b''
}
else {
error _rc
exit _rc
}
* Predict
* fitted values & standard errors
mata: `uni_basis'=binsreg_spdes(`uni_grid'[,1], "`kmat'", `uni_grid'[,3], `tsha_p', `deriv', `tsha_s')
if (("`estmethod'"=="logit"|"`estmethod'"=="probit")&"`transform'"=="T") {
if (`deriv'==0) {
mata: `fit0'=(`uni_basis', J(rows(`uni_basis'),1,1)#`wvec0')*st_matrix("`tsha_b'")
if ("`estmethod'"=="logit") {
mata: `fit'=logistic(`fit0'); ///
`se'=logisticden(`fit0'):* ///
binsreg_pred((`uni_basis', J(rows(`uni_basis'),1,1)#`wvec'),.,st_matrix("`tsha_V'"),"se")[,2]
}
else {
mata: `fit'=normal(`fit0'); ///
`se'=normalden(`fit0'):* ///
binsreg_pred((`uni_basis', J(rows(`uni_basis'),1,1)#`wvec'),.,st_matrix("`tsha_V'"),"se")[,2]
}
}
if (`deriv'==1) {
mata: `Xm0'=binsreg_spdes(`uni_grid'[,1], "`kmat'", `uni_grid'[,3], `tsha_p', 0, `tsha_s'); ///
`Xm0'=(`Xm0', J(rows(`Xm0'),1,1)#`wvec0'); ///
`fit0'=`Xm0'*st_matrix("`tsha_b'"); ///
`Xm'=(`uni_basis', J(rows(`uni_basis'),1,1)#`wvec')
if ("`estmethod'"=="logit") {
mata: `fit'=binsreg_pred(`Xm',st_matrix("`tsha_b'"),.,"xb")[,1]
if ("`asyvar'"=="off") {
mata: `Xm'=logisticden(`fit0'):*(1:-2*logistic(`fit0')):*`fit':*`Xm0' + ///
logisticden(`fit0'):*`Xm'; ///
`se'=sqrt(rowsum((`Xm'*st_matrix("`tsha_V'")):*`Xm'))
}
else {
mata: `se'=logisticden(`fit0'):*(binsreg_pred(`Xm',.,st_matrix("`tsha_V'"),"se")[,2])
}
mata: `fit'=logisticden(`fit0'):*`fit'
}
else {
mata: `fit'=binsreg_pred(`Xm',st_matrix("`tsha_b'"),.,"xb")[,1]
if ("`asyvar'"=="off") {
mata:`Xm'=(-`fit0'):*normalden(`fit0'):*`fit':*`Xm0' + ///
normalden(`fit0'):*`Xm'; ///
`se'=sqrt(rowsum((`Xm'*st_matrix("`tsha_V'")):*`Xm'))
}
else {
mata: `se'=normalden(`fit0'):*(binsreg_pred(`Xm',.,st_matrix("`tsha_V'"),"se")[,2])
}
mata: `fit'=normalden(`fit0'):*`fit'
}
}
mata: `Xm'=(`fit', `se')
}
else {
mata: `Xm'=(`uni_basis', J(rows(`uni_basis'),1,1)#`wvec'); ///
`Xm'=binsreg_pred(`Xm', st_matrix("`tsha_b'"), st_matrix("`tsha_V'"), "all")
}
* Test statistics
mata: `tstat'=J(`ntestshape',2,.)
forval i=1/`ntestshape' {
if (`i'<=`nL') {
local val: word `i' of `val_L'
mata: `tstat'[`i',.]=(max((`Xm'[,1]:-`val'):/`Xm'[,2]), 1)
}
else if (`i'<=`nL'+`nR') {
local val: word `=`i'-`nL'' of `val_R'
mata: `tstat'[`i',.]=(min((`Xm'[,1]:-`val'):/`Xm'[,2]), 2)
}
else {
local val: word `=`i'-`nL'-`nR'' of `val_T'
if ("`lp'"=="inf") {
mata: `tstat'[`i',.]=(max(abs((`Xm'[,1]:-`val'):/`Xm'[,2])), 3)
}
else {
mata: `tstat'[`i',.]=(mean(abs((`Xm'[,1]:-`val'):/`Xm'[,2]):^`lp')^(1/`lp'), 3)
}
}
}
mata: st_matrix("`stat_shape'", `tstat')
* p value
if ("`estmethod'"=="qreg"|"`estmethod'"=="reghdfe") {
if (`deriv'==0) mata: `uni_basis'=(`uni_basis', J(rows(`uni_basis'),1,1))
else mata: `uni_basis'=(`uni_basis', J(rows(`uni_basis'),1,0))
mata: `vcov'=st_matrix("`tsha_V'"); ///
`vcov'= (`vcov'[|1,1 \ `nseries', `nseries'|], `vcov'[|1,cols(`vcov') \ `nseries', cols(`vcov')|] \ ///
`vcov'[|cols(`vcov'), 1 \ cols(`vcov'), `nseries'|], `vcov'[cols(`vcov'), cols(`vcov')]); ///
st_matrix("`vcov'", `vcov')
}
if ("`estmethod'"!="qreg"&"`estmethod'"!="reghdfe") {
mata: `Xm'=binsreg_pred(`uni_basis', ., st_matrix("`tsha_V'")[|1,1 \ `nseries',`nseries'|], "se"); ///
binsreg_pval(`uni_basis', `Xm'[,2], "`tsha_V'", "`stat_shape'", `nsims', `nseries', ///
".", 0, "`pval_shape'", ".", "`lp'")
}
else {
mata: `Xm'=binsreg_pred(`uni_basis', ., `vcov', "se"); ///
binsreg_pval(`uni_basis', `Xm'[,2], "`vcov'", "`stat_shape'", `nsims', `=`nseries'+1', ///
".", 0, "`pval_shape'", ".", "`lp'")
}
drop `tsha_series'
mata: mata drop `Xm' `uni_basis' `tstat'
if ("`testshapel'"!="") {
tempname stat_shapeL pval_shapeL
mat `stat_shapeL'=`stat_shape'[1..`nL',1]
mat `pval_shapeL'=`pval_shape'[1..`nL',1]
}
if ("`testshaper'"!="") {
tempname stat_shapeR pval_shapeR
mat `stat_shapeR'=`stat_shape'[`=`nL'+1'..`=`nL'+`nR'',1]
mat `pval_shapeR'=`pval_shape'[`=`nL'+1'..`=`nL'+`nR'',1]
}
if ("`testshape2'"!="") {
tempname stat_shape2 pval_shape2
mat `stat_shape2'=`stat_shape'[`=`nL'+`nR'+1'..`ntestshape',1]
mat `pval_shape2'=`pval_shape'[`=`nL'+`nR'+1'..`ntestshape',1]
}
}
else {
local tsha_p=.
local tsha_s=.
}
*************************************
****** Testing Models ***************
*************************************
tempname stat_poly pval_poly /* for testing poly reg */
tempname stat_model pval_model /* for testing models */
if ((`"`testmodelparfit'"'!=`""'|"`testmodelpoly'"!="")&"`tmod_fewobs'"!="T") {
***********************************************
* Regression: for BOTH
local nseries=(`tmod_p'-`tmod_s'+1)*(`nbins'-1)+`tmod_p'+1
tempname tmod_b tmod_V
capture confirm matrix `tsha_b' `tsha_V'
if (_rc==0&`tmod_p'==`tsha_p'& `tmod_s'==`tsha_s') {
matrix `tmod_b'=`tsha_b'
matrix `tmod_V'=`tsha_V'
}
else {
local tmod_series ""
forvalues i=1/`nseries' {
tempvar sp`i'
local tmod_series `tmod_series' `sp`i''
qui gen `sp`i''=. in 1
}
mata: binsreg_st_spdes(`xvec', "`tmod_series'", "`kmat'", st_data(.,"`xcat'"), `tmod_p', 0, `tmod_s')
if ("`estmethod'"!="qreg"&"`estmethod'"!="reghdfe") {
capture `estcmd' `y_var' `tmod_series' `w_var' `wt', nocon `vce' `estmethodopt'
}
else if ("`estmethod'"=="qreg") {
if ("`boot'"=="on") capture bsqreg `y_var' `tmod_series' `w_var', quantile(`quantile') reps(`reps')
else capture qreg `y_var' `tmod_series' `w_var' `wt', quantile(`quantile') `vce' `estmethodopt'
}
else {
capture `estcmd' `y_var' `tmod_series' `w_var' `wt', absorb(`absorb') `reghdfeopt' `vce'
}
* store results
if (_rc==0) {
matrix `tmod_b'=e(b)
matrix `tmod_V'=e(V)
if ("`estmethod'"!="qreg"&"`estmethod'"!="reghdfe") mata: binsreg_checkdrop("`tmod_b'", "`tmod_V'", `nseries')
else mata: binsreg_checkdrop("`tmod_b'", "`tmod_V'", `nseries', "T")
matrix `tmod_b'=`tmod_b''
}
else {
error _rc
exit _rc
}
drop `tmod_series'
}
********************************************************
* If a test for poly reg is requested
if ("`testmodelpoly'"!="") {
* fitted values
mata: `uni_basis'=binsreg_spdes(`uni_grid'[,1], "`kmat'", `uni_grid'[,3], `tmod_p', `deriv', `tmod_s')
if (("`estmethod'"=="logit"|"`estmethod'"=="probit")&"`transform'"=="T") {
if (`deriv'==0) {
mata: `fit0'=(`uni_basis', J(rows(`uni_basis'),1,1)#`wvec0')*st_matrix("`tmod_b'")
if ("`estmethod'"=="logit") {
mata: `fit'=logistic(`fit0'); ///
`se'=logisticden(`fit0'):* ///
binsreg_pred((`uni_basis', J(rows(`uni_basis'),1,1)#`wvec'),.,st_matrix("`tmod_V'"),"se")[,2]
}
else {
mata: `fit'=normal(`fit0'); ///
`se'=normalden(`fit0'):* ///
binsreg_pred((`uni_basis', J(rows(`uni_basis'),1,1)#`wvec'),.,st_matrix("`tmod_V'"),"se")[,2]
}
}
if (`deriv'==1) {
mata: `Xm0'=binsreg_spdes(`uni_grid'[,1], "`kmat'", `uni_grid'[,3], `tmod_p', 0, `tmod_s'); ///
`Xm0'=(`Xm0', J(rows(`Xm0'),1,1)#`wvec0'); ///
`fit0'=`Xm0'*st_matrix("`tmod_b'"); ///
`Xm'=(`uni_basis', J(rows(`uni_basis'),1,1)#`wvec')
if ("`estmethod'"=="logit") {
mata: `fit'=binsreg_pred(`Xm',st_matrix("`tmod_b'"),.,"xb")[,1]
if ("`asyvar'"=="off") {
mata: `Xm'=logisticden(`fit0'):*(1:-2*logistic(`fit0')):*`fit':*`Xm0' + ///
logisticden(`fit0'):*`Xm'; ///
`se'=sqrt(rowsum((`Xm'*st_matrix("`tmod_V'")):*`Xm'))
}
else {
mata: `se'=logisticden(`fit0'):*(binsreg_pred(`Xm',.,st_matrix("`tmod_V'"),"se")[,2])
}
mata: `fit'=logisticden(`fit0'):*`fit'
}
else {
mata: `fit'=binsreg_pred(`Xm',st_matrix("`tmod_b'"),.,"xb")[,1]
if ("`asyvar'"=="off") {
mata:`Xm'=(-`fit0'):*normalden(`fit0'):*`fit':*`Xm0' + ///
normalden(`fit0'):*`Xm'; ///
`se'=sqrt(rowsum((`Xm'*st_matrix("`tmod_V'")):*`Xm'))
}
else {
mata: `se'=normalden(`fit0'):*(binsreg_pred(`Xm',.,st_matrix("`tmod_V'"),"se")[,2])
}
mata: `fit'=normalden(`fit0'):*`fit'
}
}
mata: `Xm'=(`fit', `se')
}
else {
mata: `Xm'=(`uni_basis', J(rows(`uni_basis'),1,1)#`wvec'); ///
`Xm'=binsreg_pred(`Xm', st_matrix("`tmod_b'"), st_matrix("`tmod_V'"), "all")
}
* Polynomial fit
tempvar poly_fit
local poly_series ""
*if ("`estmethod'"!="qreg"&"`estmethod'"!="reghdfe") local ini=0
*else local ini=1
forval i=1/`testpolyp' {
tempvar x_var_`i'
qui gen `x_var_`i''=`x_var'^`i'
local poly_series `poly_series' `x_var_`i''
}
if ("`estmethod'"!="qreg"&"`estmethod'"!="reghdfe") {
capture `estcmd' `y_var' `poly_series' `w_var' `wt', `estmethodopt'
}
else if ("`estmethod'"=="qreg") {
capture qreg `y_var' `poly_series' `w_var' `wt', quantile(`quantile') `estmethodopt'
}
else {
capture `estcmd' `y_var' `poly_series' `w_var' `wt', absorb(`absorb') `reghdfeopt'
}
* store results
tempname poly_b poly_adjw
if (_rc==0) {
matrix `poly_b'=e(b)
if (`nwvar'>0&`deriv'==0) matrix `poly_adjw'=`wval'*`poly_b'[1, `=`testpolyp'+1'..`=`testpolyp'+`nwvar'']'
else matrix `poly_adjw'=0
if (`deriv'==0) {
if (`testpolyp'>0) matrix `poly_b'=(`poly_b'[1, `=`testpolyp'+`nwvar'+1'], `poly_b'[1,1..`testpolyp'])
else matrix `poly_b'=`poly_b'[1, `=`testpolyp'+`nwvar'+1']
}
else {
matrix `poly_b'=`poly_b'[1, `deriv'..`testpolyp']
}
*if ("`estmethod'"=="qreg") matrix `poly_b'=(`poly_b'[1,colsof(`poly_b')], `poly_b'[1, 1..`testpolyp'])
*matrix `poly_b'=`poly_b'[1, `=`deriv'+1'..`=`testpolyp'+1']
}
else {
error _rc
exit _rc
}
* Data for derivative
tempname polym polym0
mata: `polym'=J(`uni_last',0,.)
forval i=`deriv'/`testpolyp' {
mata: `polym'=(`polym', `uni_grid'[,1]:^(`i'-`deriv')*factorial(`i')/factorial(`i'-`deriv'))
}
mata: `polym'=`polym'*st_matrix("`poly_b'")':+st_matrix("`poly_adjw'")
if (("`estmethod'"=="logit"|"`estmethod'"=="probit")&"`transform'"=="T") {
mata: `polym0'=J(rows(`uni_grid'),0,.)
if (`deriv'==1) {
forval i=1/`testpolyp' {
mata: `polym0'=(`polym0', `uni_grid'[,1]:^`i')
}
if (`nwvar'>0) mata: `polym0'=(`polym0', J(rows(`polym0'),1,1)#st_matrix("`wval'"))
mata: `polym0'=(`polym0', J(rows(`polym0'),1,1))
}
if ("`estmethod'"=="logit") {
if (`deriv'==0) mata: `polym'=logistic(`polym')
if (`deriv'==1) mata: `polym'=logisticden(`polym0'*st_matrix("e(b)")'):*`polym'
}
else {
if (`deriv'==0) mata: `polym'=normal(`polym')
if (`deriv'==1) mata: `polym'=normalden(`polym0'*st_matrix("e(b)")'):*`polym'
}
mata: mata drop `polym0'
}
if ("`lp'"=="inf") {
mata: st_matrix("`stat_poly'", (max(abs((`Xm'[,1]-`polym'):/`Xm'[,2])),3))
}
else {
mata: st_matrix("`stat_poly'", (mean(abs((`Xm'[,1]-`polym'):/`Xm'[,2]):^`lp')^(1/`lp'),3))
}
* p value
if ("`estmethod'"=="qreg"|"`estmethod'"=="reghdfe") {
if (`deriv'==0) mata: `uni_basis'=(`uni_basis', J(rows(`uni_basis'),1,1))
else mata: `uni_basis'=(`uni_basis', J(rows(`uni_basis'),1,0))
mata: `vcov'=st_matrix("`tmod_V'"); ///
`vcov'= (`vcov'[|1,1 \ `nseries', `nseries'|], `vcov'[|1,cols(`vcov') \ `nseries', cols(`vcov')|] \ ///
`vcov'[|cols(`vcov'), 1 \ cols(`vcov'), `nseries'|], `vcov'[cols(`vcov'), cols(`vcov')]); ///
st_matrix("`vcov'", `vcov')
}
if ("`estmethod'"!="qreg"&"`estmethod'"!="reghdfe") {
mata: `Xm'=binsreg_pred(`uni_basis', ., st_matrix("`tmod_V'")[|1,1 \ `nseries',`nseries'|], "se"); ///
binsreg_pval(`uni_basis', `Xm'[,2], "`tmod_V'", "`stat_poly'", ///
`nsims', `nseries', ".", 0, "`pval_poly'", ".", "`lp'")
}
else {
mata: `Xm'=binsreg_pred(`uni_basis', ., `vcov', "se"); ///
binsreg_pval(`uni_basis', `Xm'[,2], "`vcov'", "`stat_poly'", ///
`nsims', `=`nseries'+1', ".", 0, "`pval_poly'", ".", "`lp'")
}
mata: mata drop `Xm' `polym' `uni_basis'
}
******************************************************************
* if the model is stored in another file
if (`"`testmodelparfit'"'!=`""') {
use `"`testmodelparfit'"', clear
qui ds binsreg_fit*
local varls=r(varlist)
local nfitval: word count `varls'
tempvar uni_xcat uni_fit uni_se
qui gen `uni_fit'=. in 1
qui gen `uni_se'=. in 1
qui gen `uni_xcat'=. in 1
binsreg_irecode `x_var', knotmat(`kmat') bin(`uni_xcat') ///
`usegtools' nbins(`nbins') pos(`binspos') knotliston(T)
mata: `uni_basis'=binsreg_spdes(st_data(.,"`x_var'"), "`kmat'", st_data(.,"`uni_xcat'"), ///
`tmod_p', `deriv', `tmod_s')
if (("`estmethod'"=="logit"|"`estmethod'"=="probit")&"`transform'"=="T") {
if (`deriv'==0) {
mata: `fit0'=(`uni_basis', J(rows(`uni_basis'),1,1)#`wvec0')*st_matrix("`tmod_b'")
if ("`estmethod'"=="logit") {
mata: `fit'=logistic(`fit0'); ///
`se'=logisticden(`fit0'):* ///
binsreg_pred((`uni_basis', J(rows(`uni_basis'),1,1)#`wvec'),.,st_matrix("`tmod_V'"),"se")[,2]
}
else {
mata: `fit'=normal(`fit0'); ///
`se'=normalden(`fit0'):* ///
binsreg_pred((`uni_basis', J(rows(`uni_basis'),1,1)#`wvec'),.,st_matrix("`tmod_V'"),"se")[,2]
}
}
if (`deriv'==1) {
mata: `Xm0'=binsreg_spdes(st_data(.,"`x_var'"), "`kmat'", st_data(.,"`uni_xcat'"), `tmod_p', 0, `tmod_s'); ///
`Xm0'=(`Xm0', J(rows(`Xm0'),1,1)#`wvec0'); ///
`fit0'=`Xm0'*st_matrix("`tmod_b'"); ///
`Xm'=(`uni_basis', J(rows(`uni_basis'),1,1)#`wvec')
if ("`estmethod'"=="logit") {
mata: `fit'=binsreg_pred(`Xm',st_matrix("`tmod_b'"),.,"xb")[,1]
if ("`asyvar'"=="off") {
mata: `Xm'=logisticden(`fit0'):*(1:-2*logistic(`fit0')):*`fit':*`Xm0' + ///
logisticden(`fit0'):*`Xm'; ///
`se'=sqrt(rowsum((`Xm'*st_matrix("`tmod_V'")):*`Xm'))
}
else {
mata: `se'=logisticden(`fit0'):*(binsreg_pred(`Xm',.,st_matrix("`tmod_V'"),"se")[,2])
}
mata: `fit'=logisticden(`fit0'):*`fit'
}
else {
mata: `fit'=binsreg_pred(`Xm',st_matrix("`tmod_b'"),.,"xb")[,1]
if ("`asyvar'"=="off") {
mata:`Xm'=(-`fit0'):*normalden(`fit0'):*`fit':*`Xm0' + ///
normalden(`fit0'):*`Xm'; ///
`se'=sqrt(rowsum((`Xm'*st_matrix("`tmod_V'")):*`Xm'))
}
else {
mata: `se'=normalden(`fit0'):*(binsreg_pred(`Xm',.,st_matrix("`tmod_V'"),"se")[,2])
}
mata: `fit'=normalden(`fit0'):*`fit'
}
}
mata: `Xm'=(`fit', `se')
}
else {
mata: `Xm'=(`uni_basis', J(rows(`uni_basis'),1,1)#`wvec'); ///
`Xm'=binsreg_pred(`Xm', st_matrix("`tmod_b'"), st_matrix("`tmod_V'"), "all")
}
mata: `tstat'=J(`nfitval',2,.)
local counter=1
if ("`lp'"=="inf") {
foreach var of local varls {
mata: `tstat'[`counter',]=(max(abs((`Xm'[,1]-st_data(.,"`var'")):/`Xm'[,2])), 3)
local ++counter
}
}
else {
foreach var of local varls {
mata: `tstat'[`counter',]=(mean(abs((`Xm'[,1]-st_data(.,"`var'")):/`Xm'[,2]):^`lp')^(1/`lp'), 3)
local ++counter
}
}
mata: st_matrix("`stat_model'", `tstat')
* p values
if ("`estmethod'"=="qreg"|"`estmethod'"=="reghdfe") {
if (`deriv'==0) mata: `uni_basis'=(`uni_basis', J(rows(`uni_basis'),1,1))
else mata: `uni_basis'=(`uni_basis', J(rows(`uni_basis'),1,0))
mata: `vcov'=st_matrix("`tmod_V'"); ///
`vcov'= (`vcov'[|1,1 \ `nseries', `nseries'|], `vcov'[|1,cols(`vcov') \ `nseries', cols(`vcov')|] \ ///
`vcov'[|cols(`vcov'), 1 \ cols(`vcov'), `nseries'|], `vcov'[cols(`vcov'), cols(`vcov')]); ///
st_matrix("`vcov'", `vcov')
}
if ("`estmethod'"!="qreg"&"`estmethod'"!="reghdfe") {
mata: `Xm'=binsreg_pred(`uni_basis', ., st_matrix("`tmod_V'")[|1,1 \ `nseries',`nseries'|], "se"); ///
binsreg_pval(`uni_basis', `Xm'[,2], "`tmod_V'", "`stat_model'", `nsims', ///
`nseries', ".", 0, "`pval_model'", ".", "`lp'")
}
else {
mata: `Xm'=binsreg_pred(`uni_basis', ., `vcov', "se"); ///
binsreg_pval(`uni_basis', `Xm'[,2], "`vcov'", "`stat_model'", `nsims', ///
`=`nseries'+1', ".", 0, "`pval_model'", ".", "`lp'")
}
mata: mata drop `Xm' `tstat' `uni_basis'
}
}
else {
local tmod_p=.
local tmod_s=.
}
mata: mata drop `uni_grid' `xvec' `Xm0' `fit' `se' `fit0' `wvec' `wvec0' `vcov'
****** End of testing *****************************************
******************************
******* Display **************
******************************
if ("`knotlist'"!=""|"`selection'"=="NA") {
local binselectmethod "User-specified"
local placement "User-specified"
}
else {
if ("`binsmethod'"=="DPI") local binselectmethod "IMSE-optimal plug-in choice"
if ("`binsmethod'"=="ROT") local binselectmethod "IMSE-optimal rule-of-thumb choice"
if ("`selection'"=="J") local binselectmethod "`binselectmethod' (select # of bins)"
if ("`selection'"=="P") local binselectmethod "`binselectmethod' (select degree and smoothness)"
if ("`binspos'"=="ES") local placement "Evenly-spaced"
if ("`binspos'"=="QS") local placement "Quantile-spaced"
}
di ""
di in smcl in gr "Hypothesis tests based on binscatter estimates"
di in smcl in gr "Estimation method: `estmethod'"
di in smcl in gr "Bin selection method: `binselectmethod'"
di in smcl in gr "Placement: `placement'"
di in smcl in gr "Derivative: `deriv'"
di ""
di in smcl in gr "{hline 30}{c TT}{hline 15}"
di in smcl in gr "{lalign 1:# of observations}" _col(30) " {c |} " _col(32) as result %7.0f `N'
di in smcl in gr "{lalign 1:# of distinct values}" _col(30) " {c |} " _col(32) as result %7.0f `Ndist'
di in smcl in gr "{lalign 1:# of clusters}" _col(30) " {c |} " _col(32) as result %7.0f `Nclust'
di in smcl in gr "{hline 30}{c +}{hline 15}"
di in smcl in gr "{lalign 1:Bin/Degree selection:}" _col(30) " {c |} "
* if ("`binselectmethod'"=="User-specified") {
* di in smcl in gr "{ralign 29:Degree of polynomial}" _col(30) " {c |} " _col(39) as result %7.0f "."
* di in smcl in gr "{ralign 29:# of smoothness constraints}" _col(30) " {c |} " _col(39) as result %7.0f "."
* }
* else {
di in smcl in gr "{ralign 29:Degree of polynomial}" _col(30) " {c |} " _col(32) as result %7.0f `binsp'
di in smcl in gr "{ralign 29:# of smoothness constraints}" _col(30) " {c |} " _col(32) as result %7.0f `binss'
* }
di in smcl in gr "{ralign 29:# of bins}" _col(30) " {c |} " _col(32) as result %7.0f `nbins'
di in smcl in gr "{hline 30}{c BT}{hline 15}"
if ("`tsha_fewobs'"!="T") {
if (`ntestshape'!=0) {
di ""
di in smcl in gr "Shape Restriction Tests:"
di in smcl in gr "Degree: `tsha_p'" _col(15) "# of smoothness constraints: `tsha_s'"
}
if ("`testshapel'"!="") {
di ""
di in smcl in gr "{hline 19}{c TT}{hline 30}"
di in smcl in gr "H0: sup mu <=" _col(20) in gr ///
"{c |}" _col(22) "sup T" _col(40) "p value"
di in smcl in gr "{hline 19}{c +}{hline 30}"
forval i=1/`nL' {
local val: word `i' of `testshapel'
local stat=`stat_shapeL'[`i',1]
local pval=`pval_shapeL'[`i',1]
di in smcl in yellow "{rcenter 19:`val'}" _col(20) in gr "{c |}" ///
_col(22) as result %7.3f `stat' ///
_col(40) as result %7.3f `pval'
}
di in smcl in gr "{hline 19}{c BT}{hline 30}"
}
if ("`testshaper'"!="") {
di ""
di in smcl in gr "{hline 19}{c TT}{hline 30}"
di in smcl in gr "H0: inf mu >=" _col(20) in gr ///
"{c |}" _col(22) "inf T" _col(40) "p value"
di in smcl in gr "{hline 19}{c +}{hline 30}"
forval i=1/`nR' {
local val: word `i' of `testshaper'
local stat=`stat_shapeR'[`i',1]
local pval=`pval_shapeR'[`i',1]
di in smcl in yellow "{rcenter 19:`val'}" _col(20) in gr "{c |}" ///
_col(22) as result %7.3f `stat' ///
_col(40) as result %7.3f `pval'
}
di in smcl in gr "{hline 19}{c BT}{hline 30}"
}
if ("`testshape2'"!="") {
di ""
di in smcl in gr "{hline 19}{c TT}{hline 30}"
if ("`lp'"=="inf") {
di in smcl in gr "H0: mu =" _col(20) in gr ///
"{c |}" _col(22) "sup |T|" _col(40) "p value"
}
else {
di in smcl in gr "H0: mu =" _col(20) in gr ///
"{c |}" _col(22) "L`lp' of T" _col(40) "p value"
}
di in smcl in gr "{hline 19}{c +}{hline 30}"
forval i=1/`nT' {
local val: word `i' of `testshape2'
local stat=`stat_shape2'[`i',1]
local pval=`pval_shape2'[`i',1]
di in smcl in yellow "{rcenter 19:`val'}" _col(20) in gr "{c |}" ///
_col(22) as result %7.3f `stat' ///
_col(40) as result %7.3f `pval'
}
di in smcl in gr "{hline 19}{c BT}{hline 30}"
}
}
if ("`tmod_fewobs'"!="T") {
if ("`testmodelpoly'"!=""|`"`testmodelparfit'"'!=`""') {
di ""
di in smcl in gr "Model specification Tests:"
di in smcl in gr "Degree: `tmod_p'" _col(15) "# of smoothness constraints: `tmod_s'"
}
if ("`testmodelpoly'"!="") {
di ""
local stat=`stat_poly'[1,1]
local pval=`pval_poly'[1,1]
di in smcl in gr "{hline 19}{c TT}{hline 30}"
if ("`lp'"=="inf") {
di in smcl in gr "H0: mu =" _col(20) in gr ///
"{c |}" _col(22) "sup |T|" _col(40) "p value"
}
else {
di in smcl in gr "H0: mu =" _col(20) in gr ///
"{c |}" _col(22) "L`lp' of T" _col(40) "p value"
}
di in smcl in gr "{hline 19}{c +}{hline 30}"
di in smcl in gr "poly. degree " as result `testpolyp' _col(20) in gr "{c |}" ///
_col(22) as result %7.3f `stat' ///
_col(40) as result %7.3f `pval'
di in smcl in gr "{hline 19}{c BT}{hline 30}"
}
if (`"`testmodelparfit'"'!=`""') {
di ""
di in smcl in gr `"Input file: `testmodelparfit'.dta"'
di in smcl in gr "{hline 19}{c TT}{hline 30}"
if ("`lp'"=="inf") {
di in smcl in gr "H0: mu =" _col(20) in gr ///
"{c |}" _col(22) "sup |T|" _col(40) "p value"
}
else {
di in smcl in gr "H0: mu =" _col(20) in gr ///
"{c |}" _col(22) "L`lp' of T" _col(40) "p value"
}
di in smcl in gr "{hline 19}{c +}{hline 30}"
forval i=1/`nfitval' {
local val: word `i' of `varls'
local stat=`stat_model'[`i',1]
local pval=`pval_model'[`i',1]
di in smcl in yellow "{rcenter 19:`val'}" _col(20) in gr "{c |}" ///
_col(22) as result %7.3f `stat' ///
_col(40) as result %7.3f `pval'
}
di in smcl in gr "{hline 19}{c BT}{hline 30}"
}
}
****************************
******* Return *************
****************************
ereturn clear
ereturn scalar N=`N'
ereturn scalar Ndist=`Ndist'
ereturn scalar Nclust=`Nclust'
ereturn scalar nbins=`nbins'
ereturn scalar p=`binsp'
ereturn scalar s=`binss'
ereturn scalar testshape_p=`tsha_p'
ereturn scalar testshape_s=`tsha_s'
ereturn scalar testmodel_p=`tmod_p'
ereturn scalar testmodel_s=`tmod_s'
ereturn scalar imse_var_rot=`imse_var_rot'
ereturn scalar imse_bsq_rot=`imse_bsq_rot'
ereturn scalar imse_var_dpi=`imse_var_dpi'
ereturn scalar imse_bsq_dpi=`imse_bsq_dpi'
if ("`tsha_fewobs'"!="T") {
if ("`testshapel'"!="") {
ereturn local testvalueL `testshapel'
ereturn matrix stat_shapeL=`stat_shapeL'
ereturn matrix pval_shapeL=`pval_shapeL'
}
if ("`testshaper'"!="") {
ereturn local testvalueR `testshaper'
ereturn matrix stat_shapeR=`stat_shapeR'
ereturn matrix pval_shapeR=`pval_shapeR'
}
if ("`testshape2'"!="") {
ereturn local testvalue2 `testshape2'
ereturn matrix stat_shape2=`stat_shape2'
ereturn matrix pval_shape2=`pval_shape2'
}
}
if ("`tmod_fewobs'"!="T") {
if ("`testmodelpoly'"!="") {
ereturn scalar testpolyp=`testpolyp'
ereturn scalar stat_poly=`stat_poly'[1,1]
ereturn scalar pval_poly=`pval_poly'[1,1]
}
if (`"`testmodelparfit'"'!=`""') {
ereturn local testvarlist `varls'
ereturn matrix stat_model=`stat_model'
ereturn matrix pval_model=`pval_model'
}
}
end